MathDB

value of w =a/b+c/d

Source: 2004 Bosnia & Herzegovina JBMO TST p3

May 27, 2020

algebraSumFractions

Problem Statement

Let

a, b, c, d

be reals such that

\frac{a}{b}+\frac{b}{c}+\frac{c}{d}+\frac{d}{a}= 7

and

\frac{a}{c}+\frac{b}{d}+\frac{c}{a}+\frac{d}{b}= 12

. Find the value of

w =\frac{a}{b}+\frac{c}{d}